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Finding the Fourth Proportional to 3,186.74, 4,771.25 and 2,404.38

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Solution

The fourth proportional to 3,186.74, 4,771.25 and 2,404.38 is: 3,599.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.74 : 4,771.25 = 2,404.38 : x
  2. Step 2: Convert to fraction form
    3,186.74/4,771.25 = 2,404.38/x
  3. Step 3: Cross multiply
    3,186.74x = 4,771.25 × 2,404.38
  4. Step 4: Simplify right side
    3,186.74x = 11,471,886.05
  5. Step 5: Solve for x
    x = 11,471,886.05/3,186.74
  6. Step 6: Final answer
    x = 3,599.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.